50027378400 has 432 divisors, whose sum is σ = 185579372160. Its totient is φ = 12663705600.

The previous prime is 50027378381. The next prime is 50027378449. The reversal of 50027378400 is 487372005.

50027378400 is a `hidden beast` number, since 500 + 2 + 73 + 7 + 84 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11827486 + ... + 11831714.

It is an arithmetic number, because the mean of its divisors is an integer number (429581880).

Almost surely, 2^50027378400 is an apocalyptic number.

50027378400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50027378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92789686080).

50027378400 is an abundant number, since it is smaller than the sum of its proper divisors (135551993760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

50027378400 is a wasteful number, since it uses less digits than its factorization.

50027378400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4339 (or 4323 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 50027378400 in words is "fifty billion, twenty-seven million, three hundred seventy-eight thousand, four hundred".